Sigalov Aleksandr Grigor'evich

Publications in Math-Net.Ru

1. An equation of continuous descent for the quadratic form of a semi-bounded operator on the unit sphere
   
   Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  809–828
2. Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particles
   
   TMF, 5:1 (1970),  73–93
3. The main mathematical problem in the theory of atomic spectra
   
   Uspekhi Mat. Nauk, 22:2(134) (1967),  3–20
4. Integral perturbations
   
   Sibirsk. Mat. Zh., 7:2 (1966),  373–408
5. A contribution to the theory of atomic spectra
   
   Dokl. Akad. Nauk SSSR, 163:2 (1965),  323–325
6. On certain mathematical problems of the theory of atomic spectra
   
   Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965),  1261–1272
7. The spectrum of the energy operator for atoms with fixed nuclei on subspaces corresponding to irreducible representations of the group of permutations
   
   Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  835–860
8. A new algorithm in the theory of perturbations of the continuous spectrum
   
   Dokl. Akad. Nauk SSSR, 158:1 (1964),  49–52
9. On the mixed spectrum of certain higher-dimensional differential operators of quantum mechanics
   
   Dokl. Akad. Nauk SSSR, 157:6 (1964),  1329–1331
10. Conditions for the compactness of a family of surfaces of finite topological type
    
    Dokl. Akad. Nauk SSSR, 130:6 (1960),  1203–1205
11. Variational problems with admissible surfaces of arbitrary topological types
    
    Uspekhi Mat. Nauk, 12:1(73) (1957),  53–98
12. Two-dimensional problems of the calculus of variations in nonparametric form transformed into parametric form
    
    Mat. Sb. (N.S.), 34(76):3 (1954),  385–406
13. Two-dimensional problems of the calculus of variations in nonparametric form
    
    Tr. Mosk. Mat. Obs., 2 (1953),  201–233
14. Two-dimensional problems of the calculus of variations
    
    Uspekhi Mat. Nauk, 6:2(42) (1951),  16–101
15. On quasiregular double integrals of the calculus of variations
    
    Mat. Sb. (N.S.), 23(65):1 (1948),  127–158


16. Linear and quasilinear elliptic equations: O. A. Ladyzhenskaya and N. N. Ural'tseva, “Nauka”, Moscow, 1964, 538 pp. Book review
    
    Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965),  974–976
17. Amendment to the article “Variational problems with permissible surfaces of arbitrary topological types”
    
    Uspekhi Mat. Nauk, 15:1(91) (1960),  261
18. R. Kurant, Dirichlet principle, conformal maps, minimal surfaces (review)
    
    Uspekhi Mat. Nauk, 10:1(63) (1955),  237–239